it's true or false or exception

Question

mathslover · Answer

Have you tried to verify it?

mathslover · Answer

$\cfrac{1}{2^n} = \text{terminating decimal}$  

and 
$\cfrac{1}{5^n} = \text{terminating decimal}$

mathslover · Answer

So it is true . You can take examples to verify it.

mathslover · Answer

Did it help @msingh ?

anonymous · Answer

yes, @mathslover , it helps me 
after this, i put to put the value of n= 1,2,3 ..and so on

mathslover · Answer

Yes! Try up to 3 or 4  = n in each case.

anonymous · Answer

so is it true that denominator of the given fractions has the power of 2 only or 5 only or both.

mathslover · Answer

Not exactly. The fractions can also be : 1/3 , 2/3 or anything

But if you want TERMINATING DECIMAL then it is necessary that the denominators should be in the form of :

$\cfrac{1}{2^n} , \cfrac{1}{5^n}$ or both.

anonymous · Answer

is it true always  that denominator of the given fractions has the power of 2 only or 5 only or both.(in case of terminating decimal only)

mathslover · Answer

Yes! in case of "terminating decimals"

anonymous · Answer

@mathslover 
thank you

mathslover · Answer

you're welcome!